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Finding the Fourth Proportional to 1,137.12, 1,704.10 and 519.28

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Solution

The fourth proportional to 1,137.12, 1,704.10 and 519.28 is: 778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.12 : 1,704.10 = 519.28 : x
  2. Step 2: Convert to fraction form
    1,137.12/1,704.10 = 519.28/x
  3. Step 3: Cross multiply
    1,137.12x = 1,704.10 × 519.28
  4. Step 4: Simplify right side
    1,137.12x = 884,905.05
  5. Step 5: Solve for x
    x = 884,905.05/1,137.12
  6. Step 6: Final answer
    x = 778.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.